SFA, a Package on Symmetric Functions Considered as Operators over the Ring of Polynomials for the Computer Algebra System Maple

Symmetric functions can be considered as operators acting on the ring of polynomials with coefficients in R. We present the package SFA, an implementation of this action for the computer algebra system Maple. As an example, we show how to recover different classical expressions of Lagrange inversion, and of Faber polynomials.